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2272845848 = 2371323161127
BaseRepresentation
bin1000011101111000…
…1110000000011000
312212101202112100212
42013132032000120
514123322031343
61013310550252
7110215604510
oct20736160030
95771675325
102272845848
11a66a647a9
12535208388
132a2b58600
14177c00840
15d480ac18
hex8778e018

2272845848 has 192 divisors, whose sum is σ = 5576785920. Its totient is φ = 849139200.

The previous prime is 2272845793. The next prime is 2272845853. The reversal of 2272845848 is 8485482722.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2272845796 and 2272845805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17896361 + ... + 17896487.

It is an arithmetic number, because the mean of its divisors is an integer number (29045760).

Almost surely, 22272845848 is an apocalyptic number.

2272845848 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2272845848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788392960).

2272845848 is an abundant number, since it is smaller than the sum of its proper divisors (3303940072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2272845848 is a wasteful number, since it uses less digits than its factorization.

2272845848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its digits is 2293760, while the sum is 50.

The square root of 2272845848 is about 47674.3730740112. The cubic root of 2272845848 is about 1314.7908119490.

The spelling of 2272845848 in words is "two billion, two hundred seventy-two million, eight hundred forty-five thousand, eight hundred forty-eight".